Author:
Bobkov Sergey G.,Marsiglietti Arnaud,Melbourne James
Abstract
AbstractTwo-sided bounds are explored for concentration functions and Rényi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science
Reference26 articles.
1. On the Rényi Entropy of Log-Concave Sequences
2. [12] Kapur, J. N. (1988) Generalised Cauchy and Student’s distributions as maximum-entropy distributions. Proc. Nat. Acad. Sci. India Sect. A 58 235–246.
3. On the entropy power inequality for the Rényi entropy of order [0,1].;Marsiglietti;IEEE Trans. Inform. Theory,2019
4. Chromatic polynomials and logarithmic concavity
5. [16] Madiman, M. , Melbourne, J. and Xu, P. (2017) Rogozin’s convolution inequality for locally compact groups. arXiv:1705.00642
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献